11229587712 has 288 divisors, whose sum is σ = 39605852160. Its totient is φ = 3068651520.

The previous prime is 11229587693. The next prime is 11229587713. The reversal of 11229587712 is 21778592211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11229587712² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11229587713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107787 + ... + 1117877.

It is an arithmetic number, because the mean of its divisors is an integer number (137520320).

Almost surely, 2^11229587712 is an apocalyptic number.

11229587712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11229587712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802926080).

11229587712 is an abundant number, since it is smaller than the sum of its proper divisors (28376264448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11229587712 is a wasteful number, since it uses less digits than its factorization.

11229587712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 10126 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 11229587712 in words is "eleven billion, two hundred twenty-nine million, five hundred eighty-seven thousand, seven hundred twelve".